Automated shape differentiation in the Unified Form Language
Automated shape differentiation in the Unified Form Language
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DOI：
10.1007/s00158-019-02281-z
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发表时间：
2019-11-01
影响因子：
3.9
通讯作者：
Wechsung, Florian
中科院分区：
文献类型：
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作者：
Ham, David A.;Mitchell, Lawrence;Wechsung, Florian
我们讨论了在统一形式语言（ACM TOMS 40(2):9:1-9:37 2014）中自动计算弱形状导数，方法是在从物理空间到参考空间的回拉中引入一个适当的额外步骤，计算相对于坐标场的Gateaux导数。我们用几个例子来说明易用性。
We discuss automating the calculation of weak shape derivatives in the Unified Form Language (ACM TOMS 40(2):9:1-9:37 2014) by introducing an appropriate additional step in the pullback from physical to reference space that computes Gateaux derivatives with respect to the coordinate field. We illustrate the ease of use with several examples.